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Find the coordinates of a point on th...

Find the coordinates of a point on the `(x-1)/2=(y+1)/(-3)=z` atg a distance `4sqrt(14)` from the point `(1,-1,0)dot`

Text Solution

Verified by Experts

Any point on the given line is `(2r+1, -3r-1, r)` and its distance from (1, -1, 0) is
`" "(2r)^(2)+(-3r)^(2)+r^(2)=(4sqrt(14))^(2)`
or `" "r=pm4`
Thus, coordinates are (9, -13, 4) and (-7, 11, -4) and the point nearer to the origin is (-7, 11, -4).
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